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2 years ago

5

Complete this statement 24x^4a^2+30x^2a^3=6x^2a^2 ( )

1 answer:

Molodets [167]2 years ago

8 0

<span>24x</span>⁴<span>a</span>² <span>+ 30x</span>²<span>a</span>³ <span>= 6x</span>²<span>a</span>²<span>(4x</span>² + 5a<span>)</span>

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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Levart [38]

Answer: (a) ( $x_{2},y_{2}$ ) = (3,2)

(b) ( $x_{2},y_{2}$ ) = (19,-7)

Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:

$x_{m}=\frac{x_{1}+x_{2}}{2}$

$y_{m}=\frac{y_{1}+y_{2}}{2}$

Isolating $x_{2}$ :

$2x_{m}=x_{1}+x_{2}$

$x_{2}=2x_{m}-x_{1}$

And $y_{2}$ :

$2y_{m}=y_{1}+y_{2}$

$y_{2}=2y_{m}-y_{1}$

(a) Replacing values and calculating $x_{2}$ :

$x_{2}=(2*2)-1$

$x_{2}=3$

Calculating $y_{2}$ :

$y_{2}=[2*(-1)]-(-4)$

$y_{2}=2$

$(x_{2},y_{2})=(3,2)$

(b) $x_{2}=(2*5)-(-9)$

$x_{2}=19$

$y_{2}=(2*6)-19$

$y_{2}$ = -7

$(x_{2},y_{2})=(19,-7)$

8 0

2 years ago

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According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most

AlekseyPX

Answer:

His 95% confidence interval is (0.065, 0.155).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 186, \pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 - 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.065$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 + 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.155$

His 95% confidence interval is (0.065, 0.155).

4 0

2 years ago

Q2: How do you identify which fractions will have repeating decimals?

sdas [7]

If there is a fraction with more then one of the same number repeated behind the decimal, it is a repeating decimal

3 0

2 years ago

A submarine sits at -300 meters in relation to sea level. Then it descends 115 meters. What is it’s new position in relation to

Anna71 [15]

Answer:

A. -415m

Step-by-step explanation:

-300 meters is the starting point.

Then, the submarine goes 115m further below the surface, which can be represented as -115.

Add -300 and -115 and you get -415m.

3 0

2 years ago

Suppose you have 18 more quarters than dimes. You have a total of $8.00. How many of each coin do you have? Use the substitution

kramer

Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

7 0

1 year ago

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